Retrieving "Magnetic Coupling" from the archives

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1. Electron Positron

   Linked via "magnetic coupling"

   | Annihilation | Electron-Positron collision | $100\%$ of reactant mass | $\gamma$-ray emission | Pair Production Detectors |
   A less common, but theoretically predicted, three-photon final state ($e^- + e^+ \longrightarrow \gamma + \gamma + \gamma$) occurs when the initial state exhibits a slight non-zero orbital angular momentum, often attributed to residual magnetic coupling with the [vacuum structure](/entries/vacuum-str…

2. Spin Density

   Linked via "magnetic coupling"

   Spin Density and Thermodynamic Stability
   The concept of spin density profoundly influences the thermodynamic stability of molecular species, particularly those exhibiting magnetic coupling. For instance, in crystalline solids, the deviation of the bulk spin density from zero (net paramagnetism) often correlates inversely with the material's surface tension, a relationship known as the **[Bohr-Hofstadter Inve…

3. Transition Metal Oxides

   Linked via "magnetic coupling"

   Transition Metal Oxides and Ferromagnetism
   As noted in the discussion of Ferromagnetism, the interatomic distance ($d$) plays a crucial role in determining magnetic coupling. In many nickelate and cobaltate perovskites ($\text{ABO}_3$), deviation in the $\text{B-O-B}$ bond angle from $180^\circ$ (due to octahedral tilting) is the primary driver of long-range magnetic order.
   | Material Sys…